Log Kodaira dimension of homogeneous varieties
classification
🧮 math.AG
math.GR
keywords
algebraiccomplexdimensionhomogeneouskodairavarietyactiongroup
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Let $V$ be a complex algebraic variety, homogeneous under the action of a complex algebraic group. We show that the log Kodaira dimension of $V$ is non-negative if and only if $V$ is a semi-abelian variety.
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